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Finding the Fourth Proportional to 12,213.24, 16,853.82 and 6,624.12

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Solution

The fourth proportional to 12,213.24, 16,853.82 and 6,624.12 is: 9,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.24 : 16,853.82 = 6,624.12 : x
  2. Step 2: Convert to fraction form
    12,213.24/16,853.82 = 6,624.12/x
  3. Step 3: Cross multiply
    12,213.24x = 16,853.82 × 6,624.12
  4. Step 4: Simplify right side
    12,213.24x = 111,641,726.14
  5. Step 5: Solve for x
    x = 111,641,726.14/12,213.24
  6. Step 6: Final answer
    x = 9,141.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.